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Finding the Fourth Proportional to 1,723.25, 2,583.41 and 785.86

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Solution

The fourth proportional to 1,723.25, 2,583.41 and 785.86 is: 1,178.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.25 : 2,583.41 = 785.86 : x
  2. Step 2: Convert to fraction form
    1,723.25/2,583.41 = 785.86/x
  3. Step 3: Cross multiply
    1,723.25x = 2,583.41 × 785.86
  4. Step 4: Simplify right side
    1,723.25x = 2,030,193.13
  5. Step 5: Solve for x
    x = 2,030,193.13/1,723.25
  6. Step 6: Final answer
    x = 1,178.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.